Toward emulating nuclear reactions using eigenvector continuation

Drischler, C.; Quinonez, Michael; Giuliani, Pablo; Lovell, A. E.; Nunes, F. M.

doi:10.1016/j.physletb.2021.136777

Cited by 39 publications

(28 citation statements)

References 46 publications

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“…Its suitability for uncertainty quantification in low-energy nuclear physics has been demonstrated, e.g., in chiral EFT applications to fewand many-body systems, where it has been described as EC [3,5,21]. Variational approaches for reduced-order models [23,25,26] have also been very successfully applied to scattering states via the Kohn variational principle [56], where the Schrödinger equation is no longer an eigenvalue problem (for a brief review see Ref. [57]).…”

Section: E Results From Nuclear Physicsmentioning

confidence: 99%

“…Indeed, the nuclear physics community has recently been exploiting an already-established modeldriven, projection-based PMOR technique in the study of the eigenvalue problem. Introduced to the nuclear community as eigenvector continuation (EC) [19,20], this method has been demonstrated to be highly effective for nuclear bound-state [3,5,21,22] and scattering calculations [23][24][25][26]. EC has not been recognized in its broader context because the projection techniques common in the model reduction literature are not widely known in the nuclear physics community.…”

Section: Introductionmentioning

confidence: 99%

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Model reduction methods for nuclear emulators

Melendez,

Drischler,

Furnstahl

et al. 2022

Preprint

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The field of model order reduction (MOR) is growing in importance due to its ability to extract the key insights from complex simulations while discarding computationally burdensome and superfluous information. We provide an overview of MOR methods for the creation of fast & accurate emulators of memory-and compute-intensive nuclear systems. As an example, we describe how "eigenvector continuation" is a special case of a much more general and well-studied MOR formalism for parameterized systems. We continue with an introduction to the Ritz and Galerkin projection methods that underpin many such emulators, while pointing to the relevant MOR theory and its successful applications along the way. We believe that this will open the door to broader applications in nuclear physics and facilitate communication with practitioners in other fields.

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Section: E Results From Nuclear Physicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Model reduction methods for nuclear emulators

Melendez,

Drischler,

Furnstahl

et al. 2022

Preprint

Self Cite

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“…Work in this direction, using frequentist methods, was also initiated in [54]. In the longer perspective, emulator methods based on perturbation theory [55] or eigenvector continuation [56] promise an efficient method for fast and accurate emulation of scattering observables [57][58][59][60] and will open new ways to systematically incorporate N d scattering observables in the construction and fitting process of next-generation N N and N N N interactions. In this section we present the permutation operator P123 in a plane-wave partial-wave basis.…”

Section: Discussionmentioning

confidence: 99%

Neutron-deuteron scattering cross-sections with chiral $NN$ interactions using wave-packet continuum discretization

Miller¹,

Ekström²,

Hebeler³

2022

Preprint

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In this work we present a framework that allows to solve the Faddeev equations for three-nucleon scattering using the wave-packet continuum-discretization method. We perform systematic benchmarks using results in the literature and study in detail the convergence of this method with respect to the number of wave packets. We compute several different elastic neutron-deuteron scattering cross-section observables for a variety of energies using chiral nucleon-nucleon interactions. For the interaction N2LOopt we find good agreement with data for nucleon scattering-energies E Lab ≤ 70 MeV and a slightly larger maximum of the neutron analyzing power Ay(n) at E Lab = 10 MeV and 21 MeV compared with other interactions. This work represents a first step towards a systematic inclusion of three-nucleon scattering observables in the construction of next-generation nuclear interactions.

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“…It can be readily incorporated into the experimental event generators as well. Such emulators have been rapidly developed for both many-body calculations of nuclear properties [439][440][441][442][443][444] and few-body scattering and reaction calculations [445][446][447][448][449]. It will be valuable to generalize the former studies to emulate nuclear response function calculations.…”

Section: Fast Emulators For Complex Theoretical Modelsmentioning

confidence: 99%